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Finding the Fourth Proportional to 32,270.44, 48,404.94 and 8,897.08

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Solution

The fourth proportional to 32,270.44, 48,404.94 and 8,897.08 is: 13,345.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,270.44 : 48,404.94 = 8,897.08 : x
  2. Step 2: Convert to fraction form
    32,270.44/48,404.94 = 8,897.08/x
  3. Step 3: Cross multiply
    32,270.44x = 48,404.94 × 8,897.08
  4. Step 4: Simplify right side
    32,270.44x = 430,662,623.58
  5. Step 5: Solve for x
    x = 430,662,623.58/32,270.44
  6. Step 6: Final answer
    x = 13,345.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.